What is the Least Common Multiple of 37365 and 37371?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 37365 and 37371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37365 and 37371, than apply into the LCM equation.

GCF(37365,37371) = 3
LCM(37365,37371) = ( 37365 × 37371) / 3
LCM(37365,37371) = 1396367415 / 3
LCM(37365,37371) = 465455805

Least Common Multiple (LCM) of 37365 and 37371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37365 and 37371. First we will calculate the prime factors of 37365 and 37371.

Prime Factorization of 37365

Prime Factorization of 37371

Now multiplying the highest exponent prime factors to calculate the LCM of 37365 and 37371.

LCM(37365,37371) = 3¹ × 5¹ × 47¹ × 53¹ × 12457¹
LCM(37365,37371) = 465455805